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- Let A = {1, 2, 3, .., 103. Consider f:P(A) → N given by f(B) = |B|. That is, f takes B subset of A to |B|. b. Is f surjective? b. Find f-²(3).

- Let A = {1, 2, 3, .., 103. Consider f:P(A) → N given by f(B) = |B|. That is, f takes B subset of A to |B|. b. Is f surjective? b. Find f-²(3).

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.3: Factorization In F [x]
Problem 22E: Let ab in a field F. Show that x+a and x+b are relatively prime in F[x].
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2. Let A = {1, 2, 3, ..., 10}. Consider f:P(A) → N given by f(B) = |B|. That is, f takes B subset of A to |B|- b. Is f surjective? b. Find f-'(3).
Transcribed Image Text:2. Let A = {1, 2, 3, ..., 10}. Consider f:P(A) → N given by f(B) = |B|. That is, f takes B subset of A to |B|- b. Is f surjective? b. Find f-'(3).
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